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Finding the Fourth Proportional to 16,536.86, 22,820.94 and 8,983.24

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Solution

The fourth proportional to 16,536.86, 22,820.94 and 8,983.24 is: 12,396.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.86 : 22,820.94 = 8,983.24 : x
  2. Step 2: Convert to fraction form
    16,536.86/22,820.94 = 8,983.24/x
  3. Step 3: Cross multiply
    16,536.86x = 22,820.94 × 8,983.24
  4. Step 4: Simplify right side
    16,536.86x = 205,005,923.99
  5. Step 5: Solve for x
    x = 205,005,923.99/16,536.86
  6. Step 6: Final answer
    x = 12,396.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.